Hi Gareth
Here is the link to the local borough's accomodation page on their website.
http://www.infobromley.org/BromleyCo.../PlacesToStay/
All of teh places listed are within 15 mins of the track. If you are looking for Bed and Breakfasts or Guest Houses, search for thiem within West Wickham and Beckenham as these are the two areas either side of Eden Park.
HTH